PDEs of Monge-Ampere type

PDEs of Monge-Ampere type

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Neil Trudinger, Australian National University
Fine Hall 314

A considerable amount of research activity in recent years has been devoted to the study of nonlinear partial differential equations of Monge-Ampere type (MATEs) in connection with their applications to conformal geometry, optimal transportation and geometric optics. In this talk we will discuss the underlying structural condition found by Ma, Wang and myself and present a selection of recent results motivated by the applications.